The simulation software generates equations symbolically, so it can simplify complex models using sophisticated techniques, such as differential elimination, before solving them numerically.

This article originally posted on May 18, 2016. It was updated on May 31, 2024. The finite-element, finite-difference and finite-volume methods—FEM, FDM and FVM, respectively—are numerical ...

The partial differential differential equations being solved are the Euler equations of gasdynamics: with piecewise constant initial conditions (also known as Sod's shock tube problem ). The ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Modern modeling approaches for circuit simulation such as the modified nodal analysis (MNA) lead to differential-algebraic equations (DAEs). The index of a DAE is a measure of the degree of numerical ...